In choosing what music to play at a charity fund raising event Cory needs to have an equal number of piano sonatas from Haydn, Mozart, and Schubert. If he is setting up a schedule of the 15 piano sonatas to be played, and he has 52 Haydn, 18 Mozart, and 21 Schubert piano sonatas from which to choose , how many different schedules are possible? Express your answer in scientific notation rounding to the hundredth place.

Q: Determine the corresponding ciphertext if the message KAMUSTA? is encrypted using a shift cipher…

A:

Q: Find the general solution to the linear ODE. Use each method (integrating factors and educated…

A:

Q: Show that topology. л co-finity tupuljogy is a

A:

Q: Use finite differences to approximate the solution to the following linear boundary value problem…

A: The boundary value problem given is as follows: y''=y+23et,   y0=0,   y1=13e on the interval t∈0, 1…

Q: 65-68. Improper integrals Improper integrals arise in polar coordi- nates when the radial coordinate…

A: Evaluation of the double integral using conversation of polar coordinates

Q: Solve the system: 2a + 6b + 5d + 2e − 5 = 0 4a + 11b + 8c + 5e = 7 a + 3b + 2c + d + e + 2 = 0 3b −…

A:

Q: quutiont of a compact space is compact and connected Show that connected

A: Show That :  The quotient of a compact (connected) space is compact (connected).

Q: Expand f(x)=x2−x +2 as a series of Legendre polynomials

A: We expand f(x)=x2−x +2 as a series of Legendre polynomials

Q: Find ect and the solution to X' = CX + (1) t X (0) = 0

A: X'=CX+1t1X0=000

Q: pairwise co-prime and m = m₁m₂ mk. Then f(x) = 0 (m) has a solution if and only if each of the…

A:

Q: Q18. A biased coin is flipped 5 times. In a single flip of the coin, the probability of heads is 1/3…

A:

Q: Consider the following. T is the projection onto the vector w = (3, 1) in R2: T(v) = projwv, v = (3,…

A:

Q: ally should get paid $ for 3712 hours of work. (round to the nearest penny)

A: Given , Payment = $251.46  For hours of work = 2214    We need to find the amount paid for 3712…

Q: QUESTION 14 If the equation of a plane is given by 2x - 10y + 11z = 30 What is the distance from the…

A:

Q: The Current (year 2020) population of the Earth is 7.5 billion people, and the yearly birth and…

A:

Q: Emilio is using pennies to make a pattern. He arranges his pennies as shown below. 00 O O O Figure 3…

A:

Q: 34 4) (a) Compute the value of a. (b) Find all of the a eigenvalues of A. (c) Find all of the…

A:

Q: Function contraction theorem Let (X, d) be a complete metric space. Suppose that f: XX satisfies…

A:

Q: For each of the following, determine whether the Ratio Test is inconclusive (that is, fails to give…

A: We know that ratio test for convergence of series, A series ∑n=1∞an is said to be convergent if…

Q: Let A = 11 -18 6-10 Calculate the eigenvalues and eigenvectors of A.

A:

Q: (a) Find the approximate integral of the following function using Simpson's 1/3 rule and (b)…

A: The given function is f(x)=x+1x2+1 and the interval is [0,3] and n=4. The objective is to calculate…

Q: Is that dot between the n and d1d2...dk meaning multiplication?

A: It is not multiplication.

Q: Find the equation of osculating plane at any point 't' on the helix x = a cos t, y = a sin t. z = ct

A:

Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

A:

Q: Q16. Consider a game in which a fair die is rolled. If the die comes up 1, the player wins $5. If…

A:

Q: a d What is the neighborhood of A = {a, e} in this graph. b C

A:

Q: rphisms : Z2

A:

Q: Part Time Hours Hourly Rates 180 $62 186 $69 192 $76 198 $83   Using the labor supply…

A:

Q: Suppose a 2D bounding box is given by (≤ is "less than or equal to"): -1≤x≤1 -10 ≤ y ≤ 10 Compute…

A:

Q: USE THE LAPLACE TRANS FORM TO SOLVE THE FOLLOWING INITIAL-VALUE PROBLEM y'-y = 1 + tet 1 y (0) = 0

A: Solve the IVP, using Laplace transformation

Q: For the differential equation given b xy"+y'-y=0 (a) Predict the form of the solution (s limits!).…

A:

Q: QUESTION 20 Find the distance from the point (7, -14, -21) to the plane: 2x - 3y - 6z = 1

A: To find the distance from the point  (7, -14, -21) to the plane:   2x - 3y - 6z = 1

Q: Prove that if p and q are distinct odd primes, then we have (P-1)(T-1) 4 [H = (-1) TD quadratic…

A:

Q: 5. Each of the following lists of vertices forms a path in the directed graph. Which paths are…

A: To identify which of the given paths are simple path or circuit

Q: A scammer offers you a "deal" by which you can invest your money with them and earn returns. The…

A: We need to find rate of change in investment  i.e. return of investment according to scammer and…

Q: A bag used to apply icing to a cake is in the shape of a cone with a radius of 3 inches and a height…

A:

Q: 9. Give a proof of the following identity using a double-counting argument: Σ(7) (₁² k) = (m + n)…

A: We will use binomial theorem expansion to prove given expression  1+xn=nC0 +nC1 x1+nC2 x2+.....+nCr…

Q: 1. (2Y²-6) (2Y+9) 2.xXx-Y) (x+1) 3.rx-pry+1

A: This is a question of counting and finite math.

Q: USE APPROPRIATE ALGEBRA AND THEN, FIND THE GIVEN INVERSE LAPLACE TRANS FORM L-1 { Sti 5²-45

A:

Q: Calculate the surface integral ſf F. NdS, where F = (-x²z, xz², -yz²) and S is the surface with…

A:

Q: Copy of Following section 9.5.2, let's calculate the equation of a plane passing through: P1 = (1,…

A:

Q: ffyz S yz ds S is the surface with parametric equations x = u², y = u sin(3w), z = u cos(3w), 0 ≤ u≤…

A:

Q: An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and…

A: We need to use multinomial theorem to find total possible way to select 14 base ball bat

Q: 4.[4Y²-Y) (Y-2) 5.CxX+1)(x-2)

A:

Q: Cyndee wants to invest $50,000. Her financial planner advises her to invest in three types of…

A: Account with more interest rate yield more So Lowest yielding ,least risky account interest…

Q: Evaluate I 5/2 U (4-u) du · Su² 3/2

A:

Q: EXERCISE 6 Find the general solution of the differential equation y" + 4y' + 4y = x²e-2x, x>0, y =…

A: We have to find the general solution of the given non-homogeneous linear differential equation with…

Q: Consider the system: X1Xx3 + x₂x² = 0 |x₁x³+x²x=0 1. Can we solve for x3 and x4 as functions of ₁…

A: The given system of equations is: x1x3+x2x42=0x1x43+x22x36=0 We know that the implicit function…

Q: 3. A form has 7 questions, each with 3 possible answers: AGREE (A), DISAGREE (D), or NO OPINION (N).…

A: As the form has 7 questions and as per the question, we need to fill the form with the same number…

Q: the ellipsoid Show that the tangent at any point of the curve of the intersection of + = 1 and the…

A: